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2017 | OriginalPaper | Chapter

Deforming Nonnormal Isolated Surface Singularities and Constructing Threefolds with \(\mathbb{P}^{1}\) as Exceptional Set

Author : Jan Stevens

Published in: Singularities and Computer Algebra

Publisher: Springer International Publishing

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Abstract

Normally one assumes isolated surface singularities to be normal. The purpose of this paper is to show that it can be useful to look at nonnormal singularities. By deforming them interesting normal singularities can be constructed, such as isolated, non-Cohen-Macaulay threefold singularities. They arise by a small contraction of a smooth rational curve, whose normal bundle has a sufficiently positive subbundle. We study such singularities from their nonnormal general hyperplane section.

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previous chapter Some Remarks on Hyperresolutions

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Title: Deforming Nonnormal Isolated Surface Singularities and Constructing Threefolds with as Exceptional Set
Author: Jan Stevens
Publisher: Springer International Publishing
Book: Singularities and Computer Algebra
Print ISBN: 978-3-319-28828-4

Electronic ISBN: 978-3-319-28829-1

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-28829-1_16

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